Triple

T20509528
Position Surface form Disambiguated ID Type / Status
Subject Heisenberg Lie algebra E503521 entity
Predicate hasAbelianQuotientByCenter P77186 FINISHED
Object true LITERAL FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: true | Statement: [Heisenberg Lie algebra, hasAbelianQuotientByCenter, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasAbelianQuotientByCenter
Context triple: [Heisenberg Lie algebra, hasAbelianQuotientByCenter, true]
  • A. hasTrivialCenter
    Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
  • B. hasAbelianization chosen
    Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
  • C. hasTrivialAbelianization
    Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
  • D. hasNormalSubgroup
    Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the larger group.
  • E. isCharacteristicInEveryNormalSubgroup
    Indicates that a subgroup remains invariant under every automorphism of each normal subgroup of the group.
  • F. None of above.

Provenance (3 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e0b4b1e52c8190894281cf7e3283ab completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e69dc9de788190882ce471966ef2b4 completed April 20, 2026, 9:42 p.m.
PD Predicate disambiguation batch_69e59fdb7ad88190924176c32a195db3 completed April 20, 2026, 3:39 a.m.
Created at: April 16, 2026, 11:36 a.m.